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Question: If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. As it turns out, the rate at which the water drop is: where k is constant depending on the shape of the hole, the cross-sectional area of the tank and drain hole. The depth of the water y is measured in meters and the time t in minutes. If k= 0.5, determine how long it takes the tank to drain if the fluid level is initially 3 m. Solve the problem by applying classical fourth-order Runge-Kutta method. Used a step size 0.5 minutes.
Write an expression for the position function, x(t), of the particle at any time t, 0
a) Define the unknown quantities in terms of one variable b) Translate the question into an equation c) Solve the equation, showing all work
How many Lica SLRs will be shipped after 2 years? At what rate will the number of Lica SLRs shipped be changing after 2 years?
Evaluate the sequence generated by generating functions
A long straight fence having a pole every 8 ft is 1440 ft long. How many fence poles are needed for the fence?
Two factors are extraneous if their effects on the response variable cannot be distinguished from one another.
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next thre..
An article discussed rediation therapy and new cures from the therapy along with the harm that could be done if mistakes were made. the following tables represent the results of of the tyoes of mistakes and the causes of mistakes reported to t..
Determine the fundamental frequency, fundamental radian frequency, and period of the following: (a) 5 sin 9t: (5) 200 cos 70t, (c) 4 sin (4t- 10°); (or) 4sin (4t + 100).
Explain why the columns of A must span R4.
A bucket that weights 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rat..
Assuming k ≤ n, we want to distribute k balls among n bins such that each bin may at most one ball?
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